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Strong boundary values, analytic functionals, and nonlinear Paley-Wiener theory
About this Title
Jean-Pierre Rosay and Edgar Lee Stout
Publication: Memoirs of the American Mathematical Society
Publication Year:
2001; Volume 153, Number 725
ISBNs: 978-0-8218-2712-3 (print); 978-1-4704-0318-8 (online)
DOI: https://doi.org/10.1090/memo/0725
MathSciNet review: 1846591
MSC: Primary 32A45; Secondary 32E35, 42B99, 46F15
Table of Contents
Chapters
- 1. Introduction
- 2. Preliminaries on analytic functionals and hyperfunctions
- 3. Analytic functionals as boundary values
- 4. Nonlinear Paley-Wiener theory
- 5. Strong boundary values
- 6. Strong boundary values for the solutions of certain partial differential equations
- 7. Comparison with other notions of boundary values
- 8. Boundary values via cousin decompositions
- 9. The Schwarz reflection principle